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19707072 = 2637113143
BaseRepresentation
bin100101100101…
…1010011000000
31101002020000120
41023023103000
520021111242
61542220240
7326336010
oct113132300
941066016
1019707072
1110140240
126724680
13410ccb8
14288dc40
151ae41ec
hex12cb4c0

19707072 has 224 divisors, whose sum is σ = 68665344. Its totient is φ = 4838400.

The previous prime is 19707049. The next prime is 19707073. The reversal of 19707072 is 27070791.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (19707073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458283 + ... + 458325.

Almost surely, 219707072 is an apocalyptic number.

19707072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34332672).

19707072 is an abundant number, since it is smaller than the sum of its proper divisors (48958272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19707072 is a wasteful number, since it uses less digits than its factorization.

19707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 19707072 is about 4439.2648039963. The cubic root of 19707072 is about 270.1100237468.

The spelling of 19707072 in words is "nineteen million, seven hundred seven thousand, seventy-two".